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Finding the Fourth Proportional to 5,270.40, 7,906.96 and 2,803.68

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Solution

The fourth proportional to 5,270.40, 7,906.96 and 2,803.68 is: 4,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.40 : 7,906.96 = 2,803.68 : x
  2. Step 2: Convert to fraction form
    5,270.40/7,906.96 = 2,803.68/x
  3. Step 3: Cross multiply
    5,270.40x = 7,906.96 × 2,803.68
  4. Step 4: Simplify right side
    5,270.40x = 22,168,585.61
  5. Step 5: Solve for x
    x = 22,168,585.61/5,270.40
  6. Step 6: Final answer
    x = 4,206.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.